## College Algebra (6th Edition)

$\frac{15-3\sqrt 2}{23}$
Multiply the top and bottom by the conjugate of the denominator to simplify. $\frac{3}{5+\sqrt 2}$ $\frac{3}{5+\sqrt 2}\times\frac{5-\sqrt 2}{5-\sqrt 2}$ $\frac{15-3\sqrt 2}{25-2}$ $\frac{15-3\sqrt 2}{23}$